30=x2-11x

Solution for 30=x2-11x equation:

30=x2-11x

We move all terms to the left:

30-(x2-11x)=0

We add all the numbers together, and all the variables

-(+x^2-11x)+30=0

We get rid of parentheses

-x^2+11x+30=0

We add all the numbers together, and all the variables

-1x^2+11x+30=0

a = -1; b = 11; c = +30;
Δ = b2-4ac
Δ = 112-4·(-1)·30
Δ = 241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-\sqrt{241}}{2*-1}=\frac{-11-\sqrt{241}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{241}}{2*-1}=\frac{-11+\sqrt{241}}{-2}
$